44 citations · 148 across the 28 of their papers we have counts for
6 papers · 1 filter
Meromorphic Continuation of Weighted Zeta Functions on Open Hyperbolic Systems
Sonja Barkhofen, Philipp Schütte, Tobias Weich
In this article we prove meromorphic continuation of weighted zeta functions in the framework of open hyperbolic systems by using the meromorphically continued restricted resolvent…
Resonances and weighted zeta functions for obstacle scattering via smooth models
Benjamin Delarue, Philipp Schütte, Tobias Weich
We consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with boundary at which the trajectories of the geodesic flow experie…
Poisson Transforms for Trees of Bounded Degree
Kai-Uwe Bux, Joachim Hilgert, Tobias Weich
We introduce a parameterized family of Poisson transforms on trees of bounded degree, construct explicit inverses for generic parameters, and characterize moderate growth of Laplac…
Higher rank quantum-classical correspondence
Joachim Hilgert, Tobias Weich, Lasse L. Wolf
For a compact Riemannian locally symmetric space of arbitrary rank we determine the location of certain Ruelle-Taylor resonances for the Weyl chamber action. We p…
SRB measures for Anosov actions
Yannick Guedes Bonthonneau, Colin Guillarmou, Tobias Weich
Given a general Anosov action on a closed manifold, we study properties of certain invariant measures that have recently been introduced in \cite{BGHW20} using the t…
Wave Front Sets of Nilpotent Lie Group Representations
Julia Budde, Tobias Weich
Let be a nilpotent, connected, simply connected Lie group with Lie algebra , and a unitary representation of . The goal is to prove that the wave front set…